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Numerical analysis and parameter estimation technique for insect population redistribution models

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  • Jian, Fuji
  • Jayas, Digvir S.
  • White, Noel D.G.
  • Smith, E.A.

Abstract

Insect population redistribution was modeled by transport equations. The technique for estimating the coefficients associated with the transport equations (or more generally, population redistribution models) was developed using the finite difference method. The parameter(s) in the equations were estimated to relate back to the underlying rates and processes producing movement. The performance of the technique was tested with the population dispersal of adult Cryptolestes ferrugineus in stored wheat columns and boxes with or without temperature gradients. There was no significant difference among the insect numbers recovered and predicted by the finite difference and analytical methods. Therefore, a diffusion equation could be employed to model the population redistribution of adult C. ferrugineus in stored grain, and the finite difference method could be used to solve the transport equations.

Suggested Citation

  • Jian, Fuji & Jayas, Digvir S. & White, Noel D.G. & Smith, E.A., 2008. "Numerical analysis and parameter estimation technique for insect population redistribution models," Ecological Modelling, Elsevier, vol. 211(1), pages 47-56.
    • Handle: RePEc:eee:ecomod:v:211:y:2008:i:1:p:47-56
    DOI: 10.1016/j.ecolmodel.2007.08.016
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    References listed on IDEAS

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    1. Silverman, B. David, 2007. "Modeling the effect of growth rate and survivability trade-offs on species coexistence and spatial topology at a traveling invasive wave-front," Ecological Modelling, Elsevier, vol. 202(3), pages 454-464.
    2. Billoir, Elise & Péry, Alexandre R.R. & Charles, Sandrine, 2007. "Integrating the lethal and sublethal effects of toxic compounds into the population dynamics of Daphnia magna: A combination of the DEBtox and matrix population models," Ecological Modelling, Elsevier, vol. 203(3), pages 204-214.
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    4. Bommarco, Riccardo & Firle, Sascha O. & Ekbom, Barbara, 2007. "Outbreak suppression by predators depends on spatial distribution of prey," Ecological Modelling, Elsevier, vol. 201(2), pages 163-170.
    5. Jian, Fuji & Jayas, Digvir S. & White, Noel D.G. & Fields, Paul G., 2007. "A distributed-delay model to predict ageing and survival rates of adults of Cryptolestes ferrugineus (Stephens) (Coleoptera: Laemophloeidae) in granaries filled with wheat," Ecological Modelling, Elsevier, vol. 200(3), pages 412-420.
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    1. Anukiruthika, T. & Jayas, Digvir S. & Jian, Fuji, 2024. "Diffusivity and bias movement velocity of Cryptolestes ferrugineus (Coleoptera: Laemophloeidae) adults under different temperature and moisture differences," Ecological Modelling, Elsevier, vol. 491(C).

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